Question

In: Statistics and Probability

c) An organisation has 1000 employees. There are five categories of employees in the organisation (human...

c) An organisation has 1000 employees. There are five categories of employees in the organisation (human resources, IT, finance, marketing, and maintenance). Top management is interested in obtaining feedback from the employees with regard to job satisfaction. Given that the proportion of employees from the various departments are as follows; 20% from human resources, 10% IT, 30% from finance, 30% from marketing and the balance from maintenance. i) The researcher plans to take a sample of 200 employees. State and Justify the most appropriate method of sampling that will reflect the opinion of all the employees. finance, marketing, student services and maintenance). ii) Explain how Systematic Sampling can be used in the answer you stated in part (i) above in the selection of the sample of employees

Solutions

Expert Solution

i) The researcher plans to take a sample of 200 employees. State and Justify the most appropriate method of sampling that will reflect the opinion of all the employees. finance, marketing, student services and maintenance).

Answer:

The most appropriate method for sampling is stratified sampling method. So we should select the sample in such a way that the samples are proportional to the % of employees of each category in the organization. So, out of the 200 samples, 40 should be from Human resources (20%), 20 from IT (10%), 60 from finance (30%), 60 from marketing (30%) and 20 from maintenance.

Justification: The job satisifaction is likely to vary between different categories of employees in the oganization. So we would like to consider a sample that ensures represantation of all employee groups. Stratified sampling improves the accuracy and representativeness of the results by reducing sampling bias.

ii) Explain how Systematic Sampling can be used in the answer you stated in part (i) above in the selection of the sample of employees

Answer:

The systematic sampling method involves selecting individuals at a fixed interval from the propulation.

The systematic sampling can be used along with stratified sampling method in the part (i) using following steps:

Step 1.) Select a subgroup (for example Human resources)

Step 2.) Now assign a number to all employees randomly

Step 3.) Select a sample at fixed intervals (In this case we want 20%, so we select every 5th person from population i.e.employees numbered 5, 10, 15 upto end)

Step 4.) Repeat the above steps for each subgroup (category of employees).


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